The acute angles of a right triangle are complementary, so
α + β = 90
(5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7
Then the value of α is ...
α = 5*24/3 +20 = 60
The length of the side of the small triangle is 4...the side length of the large triangle is 9 (5+4), not 5. It should be correctly written as 4/6 = 9/x
The angles that lie at the same side of parallel lines are known to be always supplement of each other. This means that when we add them together, the value is 180°. If we let x be the common factor for the measures of the angle, the equation that we could use to determine the answer is,
x + 14x = 180°
The value of x from the equation is 12. Hence, the angles are,
x = 12
14(12) = 168
Answer: 12° and 168°
-5.79, -5 7/8, 5.78 Hope this helps
The slope-intercept form of a line is:
y=mx+b, where m=slope and b=y-intercept
First find the slope, which is the change in y divided by the change in x, mathematically:
m=(y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points...
m=(-5--5)/(7-2)
m=0/5
m=0, so this line has zero slope, thus it is a horizontal line of the form:
y=k, where k is the constant value of y, in this case y=-5 so
y=-5
